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Finding the Third Proportional to 411,974 and 551,785

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Solution

The third proportional to 411,974 and 551,785 is: 739,043.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,974 : 551,785 = 551,785 : x
  2. Step 2: Convert to fraction form
    411,974/551,785 = 551,785/x
  3. Step 3: Cross multiply
    411,974x = 551,785 × 551,785
  4. Step 4: Simplify right side
    411,974x = 304,466,686,225
  5. Step 5: Solve for x
    x = 304,466,686,225/411,974
  6. Step 6: Final answer
    x = 739,043.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.